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Finding the Third Proportional to 44,363,172,600 and 98,645,317,488

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Solution

The third proportional to 44,363,172,600 and 98,645,317,488 is: 219,346,320,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,363,172,600 : 98,645,317,488 = 98,645,317,488 : x
  2. Step 2: Convert to fraction form
    44,363,172,600/98,645,317,488 = 98,645,317,488/x
  3. Step 3: Cross multiply
    44,363,172,600x = 98,645,317,488 × 98,645,317,488
  4. Step 4: Simplify right side
    44,363,172,600x = 9,730,898,662,308,318,281,728
  5. Step 5: Solve for x
    x = 9,730,898,662,308,318,281,728/44,363,172,600
  6. Step 6: Final answer
    x = 219,346,320,202.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.